Anna Zamojska-Dzienio
The algebraic approach to barycentric coordinates
Barycentric coordinates provide solutions to the problem of expressing an element of a compact convex set as a convex combination of a finite number of extreme points of the set. They have been studied widely within the geometric literature, typically in response to the demands of numerical analysis and computer graphics. In this talk we bring an algebraic perspective to the problem, based on barycentric algebras. We present some recent results obtained together with A. Romanowska (Warsaw University of Technology) and J.D.H Smith (Iowa State University).
